Math Problem Statement
Domain and range
Solution
The image shows a graph of a line that extends indefinitely in both directions, passing through the coordinate plane.
Domain:
Since the line extends infinitely in both the positive and negative directions along the -axis, the domain includes all real numbers.
Range:
Similarly, the line also extends infinitely in both the positive and negative directions along the -axis, so the range includes all real numbers.
Would you like more details or have any questions?
Here are some related questions you might find interesting:
- How do you determine the slope of the line from the graph?
- What is the equation of this line in slope-intercept form ()?
- How does the domain and range change if the line is restricted to a segment?
- What would happen to the domain and range if the line were vertical or horizontal?
- How can you tell from the graph whether a line will have infinite domain and range?
Tip: Always consider whether a graph shows a line segment, a ray, or an entire line to accurately determine the domain and range.
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Math Problem Analysis
Mathematical Concepts
Graphs of Linear Functions
Domain and Range
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9